Lösung 2.3:1c
Aus Online Mathematik Brückenkurs 1
As always when completing the square, we focus on the quadratic and linear terms \displaystyle 2x-x^{2}, which we also can write as \displaystyle -(x^{2}-2x). If we neglect the minus sign, we can complete square of the expression \displaystyle 2x-x^{2} by using the formula
and we obtain
This means that
A quick check shows that we have completed the square correctly